Simulation and design of extraction and separation fluidic devices

Bijan Mohammadi; Juan G. Santiago

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2001)

  • Volume: 35, Issue: 3, page 513-523
  • ISSN: 0764-583X

Abstract

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We present the combination of a state control and shape design approaches for the optimization of micro-fluidic channels used for sample extraction and separation of chemical species existing in a buffer solution. The aim is to improve the extraction and identification capacities of electroosmotic micro-fluidic devices by avoiding dispersion of the extracted advected band.

How to cite

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Mohammadi, Bijan, and Santiago, Juan G.. "Simulation and design of extraction and separation fluidic devices." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.3 (2001): 513-523. <http://eudml.org/doc/194060>.

@article{Mohammadi2001,
abstract = {We present the combination of a state control and shape design approaches for the optimization of micro-fluidic channels used for sample extraction and separation of chemical species existing in a buffer solution. The aim is to improve the extraction and identification capacities of electroosmotic micro-fluidic devices by avoiding dispersion of the extracted advected band.},
author = {Mohammadi, Bijan, Santiago, Juan G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fluidic channels; electroosmosis; optimization and control of distributed systems; shape design approaches},
language = {eng},
number = {3},
pages = {513-523},
publisher = {EDP-Sciences},
title = {Simulation and design of extraction and separation fluidic devices},
url = {http://eudml.org/doc/194060},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Mohammadi, Bijan
AU - Santiago, Juan G.
TI - Simulation and design of extraction and separation fluidic devices
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2001
PB - EDP-Sciences
VL - 35
IS - 3
SP - 513
EP - 523
AB - We present the combination of a state control and shape design approaches for the optimization of micro-fluidic channels used for sample extraction and separation of chemical species existing in a buffer solution. The aim is to improve the extraction and identification capacities of electroosmotic micro-fluidic devices by avoiding dispersion of the extracted advected band.
LA - eng
KW - fluidic channels; electroosmosis; optimization and control of distributed systems; shape design approaches
UR - http://eudml.org/doc/194060
ER -

References

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  1. [1] C.T. Culbeston, S.C. Jacobson and J. Ramsey, Dispersion sources for compact geometries on microchips. Analytical Chemistry 70 (1998) 3781–3789. 
  2. [2] J.I. Molho, A.E. Herr, B.P. Mosier, J.G. Santiago, T.W. Kenny, R.A. Brennen and G.B. Gordon, Designing corner compensation for electrophoresis in compact geometries, in Proc. Micro total analysis systems, Enschelde, The Netherlands, May 14–18, 2000. Kluwer Academic, Hingham (2000) 287–290. 
  3. [3] B. Mohammadi, J.I. Molho and J.G. Santiago, Incomplete sensitivities in the design of minimal dispersion fluidic channels. Comp. Meth. Appl. Mech. Eng. (submitted). Zbl1039.76014
  4. [4] B. Mohammadi, J.I. Molho and J.G. Santiago, Optimization of turn geometries for on-chip electrophoresis. Analytical Chemestry 73 (2001) 1350–1360. 
  5. [5] B. Mohammadi, Practical applications to fluid flows of automatic differentiation for design problems. VKI Lecture Series 4S-05 (1997) 55–84. 
  6. [6] B. Mohammadi, A new optimal shape design procedure for inviscid and viscous turbulent flows. Internat. J. Numer. Methods Fluids 25 (1997) 183–203. Zbl0892.76071
  7. [7] B. Mohammadi and O. Pironneau, Applied Shape Design for Fluids. Oxford Univ. Press, Oxford (2001). Zbl0970.76003MR1835648
  8. [8] B. Mohammadi, Flow control and shape optimization in aeroelastic configurations. AIAA 99-0182 (1999). 
  9. [9] R.F. Probstein, Physicochemical hydrodynamics. Wiley, New York (1995). 
  10. [10] H. Attouch and R. Cominetti, A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations 128 (1996) 519–540. Zbl0886.49024
  11. [11] W. Squire and G. Trapp, Using complex variables to estimate derivatives of real functions. SIAM Review 10 (1998) 110–112. Zbl0913.65014

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